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ABCD is a quadrilateral. What is the measure of angle BAD? State your reasons.


PLEASE Answer Will Give Thanks Profile Too And 5star Rating And Brainliest If Its A GOOD Response ABCD Is A Quadrilateral What Is The Measure Of Angle BAD State class=

Sagot :

Answer:

m∠BAD = 144°

explanation:

a quadrilateral has total 360° interior angle.

solve:

↦ 4x + 3x + x + 2x = 360°

↦ 10x = 360°

↦ x = 360°/10

↦ x = 36°

Find m∠BAD:

↦ 4x

↦ 4(36)

↦ 144°

Answer:

m∠BAD = 144°

Step-by-step explanation:

Sum of interior angles of a quadrilateral = 360°

⇒ m∠A + m∠B + m∠C + m∠D = 360°

⇒ 4x + x + 2x + 3x = 360°

⇒ 10x = 360°

⇒ x = 36°

⇒ m∠BAD = 4x

⇒ m∠BAD = 4 × 36 = 144°

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